28452454464 has 336 divisors, whose sum is σ = 95005794240. Its totient is φ = 7462748160.

The previous prime is 28452454453. The next prime is 28452454483. The reversal of 28452454464 is 46445425482.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6555207 + ... + 6559545.

It is an arithmetic number, because the mean of its divisors is an integer number (282755340).

Almost surely, 2^28452454464 is an apocalyptic number.

28452454464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28452454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47502897120).

28452454464 is an abundant number, since it is smaller than the sum of its proper divisors (66553339776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28452454464 is a wasteful number, since it uses less digits than its factorization.

28452454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4409 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 48.

The spelling of 28452454464 in words is "twenty-eight billion, four hundred fifty-two million, four hundred fifty-four thousand, four hundred sixty-four".